Answer:
Jada and lin are comparing inches and feet.
Let I denote inches and F denote feet.
It is given that
I =k F or F=m I
So, I/F=k or m=F/I
As we know 1 feet = 12 inches
constant of proportionality i.e k=1/12
In case 2, constant of proportionality=12/1=12
So, Jada must have calculated ratio of feet to inches while Lin has calculated the ratio of inches to feet.
Step-by-step explanation:
Working backwards again:
3/2= 1.5
1.5 is the second term.
1.5/2= .75
.75 is the first term.
Let's say the cylinders are
A = first cylinder
B = second cylinder
B has some volume, the volume is "x"
what's 7/8 of "x"? well (7/8)x
what's 8 less than that? well (7/8)x - 8
A has a volume of 216
we also know that, A's volume is (7/8)x - 8
thus
Answer with Explanation:
Keep in mind these trigonometric Identity:
1. Cos²x - Sin² x= Cos 2 x
2. Cos 2 x = 2 Cos²x-1
3. Cos 2 x = 1 - 2 Sin²x
Now, Coming to the Problem
1 + Cos (18 x)
= 1 + Cos (2 × 9 x)
= 2 Cos ² (9 x)→→→ Cos (2 × 9 x)= 2 Cos² (9 x) - 1